DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 46)

Problem 1 :

The table above shows the distribution of test scores in Mrs. Keaton's class. Which of the following sets of test scores, if added would change the standard deviation of the distribution the least?

Solution :

Problem 2 :

The table shows three values of x and their corresponding values of g(x), where

and f is a linear function. What is the y-intercept of the graph of y = f(x) in the xy-plane?

A)  (0, 36)

B)  (0, 12)

C)  (0, 4)

D)  (0, -9)

Solution :

Problem 3 :

A machine launches a softball from ground level. The softball reaches a maximum height of 51.84 meters above the ground at 1.8 seconds and hits the ground at 3.6 seconds. Which equation represents the height above ground h, in meters, of the softball t seconds after it is launched?

A)  h = -t² + 3.6

B)  h = -t² + 51.84

C)  h = -16(t – 1.8)² + 3.6

D)  h = -16(t – 1.8)² + 51.84

Solution :

Problem 4 :

During a 5-second time interval, the average acceleration a, in meters per second squared, of an object with an initial velocity 12 meters per second is defined by the equation

where v_f is the final velocity of the object in meters per second. If the equation is reqritten in the form

v_f = xa + y

where x and y are constants, what is the value of x?

Solution :

Problem 5 :

x - y = 1

x + y = x² - 3

Which ordered pair is a solution to the system of equations above?

A)  (1 + √3, √3)

B)  (√3, -√3)

C)  (1 + √5, √5)

D)  (√5, -1 + √5)

Solution :

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